{"id":"https://openalex.org/W2990223215","doi":"https://doi.org/10.1109/tase.2019.2950716","title":"Bayesian Nonlinear Gaussian Mixture Regression and its Application to Virtual Sensing for Multimode Industrial Processes","display_name":"Bayesian Nonlinear Gaussian Mixture Regression and its Application to Virtual Sensing for Multimode Industrial Processes","publication_year":2019,"publication_date":"2019-11-22","ids":{"openalex":"https://openalex.org/W2990223215","doi":"https://doi.org/10.1109/tase.2019.2950716","mag":"2990223215"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2019.2950716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2019.2950716","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044970157","display_name":"Weiming Shao","orcid":"https://orcid.org/0000-0002-1291-3072"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weiming Shao","raw_affiliation_strings":["College of New Energy, China University of Petroleum, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of New Energy, China University of Petroleum, Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067726465","display_name":"Zhiqiang Ge","orcid":"https://orcid.org/0000-0002-2071-4380"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Ge","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035755593","display_name":"Le Yao","orcid":"https://orcid.org/0000-0002-0881-213X"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Le Yao","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048733958","display_name":"Zhihuan Song","orcid":"https://orcid.org/0000-0003-4098-6479"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihuan Song","raw_affiliation_strings":["College of Control Science and Engineering, Zhejiang University, Hangzhou, China","State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044970157"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":null,"apc_paid":null,"fwci":2.696,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.90597915,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"17","issue":"2","first_page":"871","last_page":"885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11667","display_name":"Advanced Chemical Sensor Technologies","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.6334359645843506},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5630868077278137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.550889790058136},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5280783176422119},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5242151021957397},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5192046761512756},{"id":"https://openalex.org/keywords/soft-sensor","display_name":"Soft sensor","score":0.49555790424346924},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4933096468448639},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4715559482574463},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4345241189002991},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41720354557037354},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.41192683577537537}],"concepts":[{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6334359645843506},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5630868077278137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.550889790058136},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5280783176422119},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5242151021957397},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5192046761512756},{"id":"https://openalex.org/C115575686","wikidata":"https://www.wikidata.org/wiki/Q18822403","display_name":"Soft sensor","level":3,"score":0.49555790424346924},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4933096468448639},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4715559482574463},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4345241189002991},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41720354557037354},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.41192683577537537},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2019.2950716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2019.2950716","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G4581120892","display_name":null,"funder_award_id":"2019T120516","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G4935712258","display_name":null,"funder_award_id":"61703367","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8077554656","display_name":null,"funder_award_id":"2018YFC0808600","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W623776627","https://openalex.org/W1663973292","https://openalex.org/W1723619723","https://openalex.org/W1969833588","https://openalex.org/W1973787751","https://openalex.org/W1986759966","https://openalex.org/W2000651380","https://openalex.org/W2001494200","https://openalex.org/W2038573408","https://openalex.org/W2052809458","https://openalex.org/W2085862958","https://openalex.org/W2094992113","https://openalex.org/W2111072639","https://openalex.org/W2120636621","https://openalex.org/W2127498532","https://openalex.org/W2167982865","https://openalex.org/W2319940424","https://openalex.org/W2321339439","https://openalex.org/W2343353457","https://openalex.org/W2420937411","https://openalex.org/W2461415590","https://openalex.org/W2463353318","https://openalex.org/W2463821062","https://openalex.org/W2485516069","https://openalex.org/W2540224322","https://openalex.org/W2587920002","https://openalex.org/W2727217266","https://openalex.org/W2741800562","https://openalex.org/W2742763523","https://openalex.org/W2789440825","https://openalex.org/W2808353230","https://openalex.org/W2884121498","https://openalex.org/W2884168847","https://openalex.org/W2886613299","https://openalex.org/W2889017122","https://openalex.org/W2890579411","https://openalex.org/W2896731226","https://openalex.org/W2904684904","https://openalex.org/W2919235887","https://openalex.org/W2932473677","https://openalex.org/W2961248154","https://openalex.org/W6678007500"],"related_works":["https://openalex.org/W2157136988","https://openalex.org/W1964286703","https://openalex.org/W2169866437","https://openalex.org/W2407375987","https://openalex.org/W3049691116","https://openalex.org/W2505726097","https://openalex.org/W2010643158","https://openalex.org/W2106867672","https://openalex.org/W4310268968","https://openalex.org/W2950975704"],"abstract_inverted_index":{"Virtual":[0],"sensors":[1,30],"have":[2,171,185],"established":[3],"themselves":[4],"as":[5],"effective":[6],"tools":[7],"in":[8,37,39,77],"process":[9,45],"industries":[10],"for":[11,137],"online":[12],"estimating":[13],"variables":[14,59,70,76],"that":[15,118],"are":[16,47,60,158],"crucial":[17],"but":[18],"difficult":[19],"to":[20,82,140],"measure.":[21],"However,":[22],"multimode":[23,40],"industrial":[24,167],"processes":[25],"render":[26],"developing":[27],"high-accuracy":[28],"virtual":[29,90,143],"quite":[31],"challenging.":[32],"The":[33,169],"main":[34],"difficulties":[35],"lie":[36],"that,":[38],"processes,":[41],"the":[42,51,55,68,74,101,111,120,125,138,153,156,173,177],"distributions":[43],"of":[44,103,122,152,155,176],"data":[46],"strongly":[48],"non-Gaussian":[49],"and":[50,57,124,165,183],"mathematical":[52],"relationships":[53],"between":[54],"explanatory":[56,75],"primary":[58,69],"highly":[61],"nonlinear.":[62],"Even":[63],"within":[64],"one":[65],"operating":[66],"mode,":[67],"could":[71],"depend":[72],"on":[73,147],"nonlinear":[78,95],"ways.":[79],"In":[80,110,130],"order":[81],"address":[83],"these":[84],"issues,":[85],"this":[86],"article":[87],"proposes":[88],"a":[89,113,134],"sensing":[91],"approach":[92],"named":[93],"Bayesian":[94,115],"Gaussian":[96],"mixture":[97,126],"regression":[98],"(BNGMR)":[99],"with":[100,188],"aid":[102],"single-hidden":[104],"layer":[105],"feedforward":[106],"neural":[107],"networks":[108],"(SLFNs).":[109],"BNGMR,":[112],"fully":[114],"model":[116],"structure":[117],"absorbs":[119],"merits":[121],"SLFNs":[123],"models":[127],"is":[128],"designed.":[129],"addition,":[131],"we":[132],"develop":[133],"training":[135],"algorithm":[136],"BNGMR":[139,157,178],"realize":[141],"predictive":[142,174],"sensor":[144],"development":[145],"based":[146],"variational":[148],"inference.":[149],"Extensive":[150],"assessments":[151],"performance":[154],"carried":[159],"out":[160],"using":[161],"both":[162],"artificial":[163],"example":[164],"real-world":[166],"processes.":[168],"experiments":[170],"demonstrated":[172],"advantage":[175],"over":[179],"several":[180],"benchmark":[181],"methods":[182],"also":[184],"provided":[186],"practitioners":[187],"good":[189],"illustrations.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
